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152270052 = 2231143139193
BaseRepresentation
bin10010001001101…
…11010011100100
3101121112010020120
421010313103210
5302440120202
623035401540
73526163004
oct1104672344
9347463216
10152270052
1178a52820
1242bb32b0
132571522c
141631a004
15d57c0bc
hex91374e4

152270052 has 96 divisors (see below), whose sum is σ = 401533440. Its totient is φ = 44513280.

The previous prime is 152270033. The next prime is 152270081. The reversal of 152270052 is 250072251.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 788868 + ... + 789060.

It is an arithmetic number, because the mean of its divisors is an integer number (4182640).

Almost surely, 2152270052 is an apocalyptic number.

152270052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152270052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200766720).

152270052 is an abundant number, since it is smaller than the sum of its proper divisors (249263388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152270052 is a wasteful number, since it uses less digits than its factorization.

152270052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 152270052 is about 12339.7752005456. The cubic root of 152270052 is about 533.9961985449.

The spelling of 152270052 in words is "one hundred fifty-two million, two hundred seventy thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 139 172 193 258 278 386 417 473 516 556 579 772 834 946 1158 1419 1529 1668 1892 2123 2316 2838 3058 4246 4587 5676 5977 6116 6369 8299 8492 9174 11954 12738 16598 17931 18348 23908 24897 25476 26827 33196 35862 49794 53654 65747 71724 80481 91289 99588 107308 131494 160962 182578 197241 262988 273867 295097 321924 365156 394482 547734 590194 788964 885291 1095468 1153561 1180388 1770582 2307122 3460683 3541164 4614244 6921366 12689171 13842732 25378342 38067513 50756684 76135026 152270052